no. 2
Eventual regularization for the slightly supercritical quasi-geostrophic equation
Annales de l'I.H.P. Analyse non linéaire, Volume 27 (2010) no. 2, pp. 693-704.

We prove that weak solutions of the slightly supercritical quasi-geostrophic equation become smooth for large time. The proof uses ideas from a recent article of Caffarelli and Vasseur and is based on an argument in the style of De Giorgi.

Dans cet article, nous montrons que les solutions faibles de l'équation quasi-géostrophique légèrement sur-critique deviennent régulières en temps grand. La démonstration utilise des idées d'un article récent de Caffarelli et Vasseur et repose sur un argument de type de De Giorgi.

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     author = {Silvestre, Luis},
     title = {Eventual regularization for the slightly supercritical quasi-geostrophic equation},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {693--704},
     publisher = {Elsevier},
     volume = {27},
     number = {2},
     year = {2010},
     doi = {10.1016/j.anihpc.2009.11.006},
     mrnumber = {2595196},
     zbl = {1187.35186},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1016/j.anihpc.2009.11.006/}
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Silvestre, Luis. Eventual regularization for the slightly supercritical quasi-geostrophic equation. Annales de l'I.H.P. Analyse non linéaire, Volume 27 (2010) no. 2, pp. 693-704. doi : 10.1016/j.anihpc.2009.11.006. http://archive.numdam.org/articles/10.1016/j.anihpc.2009.11.006/

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